A) Our main achievements consist of presentation of the connections between individual parameters of a physical law and the related basic schematic, chaining algorithm for physical laws and complementary basic schematics, as well as empirical proof of the absence of a combinatorial explosion for the basic and expanded set of physical laws. The significance of achievements within Part (A) of the research programme lies primarily in the founding of a new direction in conceptual design based on the chaining of physical laws, and the applicability of chaining of physical laws for the conceptual design of technical systems. (B) The contribution to the analysis and optimisation of processes in toolmaking shops has been significant. An original idea has been developed on a virtual toolmaking shop, in which the capacities of several toolmaking facilities are merged via IT connections, thus achieving greater efficiency, especially at peak workloads. We have also been successful with reference models for small companies, in the field of implementation of technical information systems. The significance of our methods for modelling information flows and data in manufacturing companies has been confirmed by their publication in reputable journals. (C) The implemented software has been helpful in the analysis of various types of images. For example, using the watershed method we have been able to isolate only the brain and thus present the specific range of interest (ROI). Individual software modules and developed algorithms can operate independently or serve as the basis for integrated applications. Via tissue recognition, bone detection is also possible and therefore also 3D imaging of bone. If the 3D model is transferred onto an appropriate CNC machine, it is possible to produce fitted prostheses. (D) A new method has been developed for predicting the fluid flow characteristics in channels with complex time variable geometry. This method is based on numerical solving of RANS equations using the finite volume method and the introduction of movable computational grids that are able to follow changes of geometry with time. The success of this method was proved on an industrial case, namely simulation of operation of the Vrhovo hydroelectric power plant situated on the Sava river upon emergency shutdown of the turbine, opening of the drive vanes and closure of guide vanes. Successful and sufficiently accurate prediction of characteristics is crucial for appropriate dimensioning of the components and safe turbine operation. Development of a new method for researching the water-hammer phenomenon, which constitutes a risk for long piping systems due to pressure oscillations. Development of a new method for the production of computational grids for complex geometries. The production of such grids is otherwise a very time consuming task, but this method enables their quick and effective production for a certain geometric and topological class of the computational range. Software has been developed that is freely available and downloadable via the world wide web.